242839968
242,839,968 is an even composite number composed of six prime numbers multiplied together.
242839968 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.
Prime factorization of 242839968:
25 × 3 × 7 × 17 × 29 × 733
(2 × 2 × 2 × 2 × 2 × 3 × 7 × 17 × 29 × 733)See below for interesting mathematical facts about the number 242839968 from the Numbermatics database.
Names of 242839968
- Cardinal: 242839968 can be written as Two hundred forty-two million, eight hundred thirty-nine thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 2.42839968 × 108
Factors of 242839968
Divisors of 242839968
- Number of divisors d(n): 192
-
Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 17 21 24 28 29 32 34 42 48 51 56 58 68 84 87 96 102 112 116 119 136 168 174 203 204 224 232 238 272 336 348 357 406 408 464 476 493 544 609 672 696 714 733 812 816 928 952 986 1218 1392 1428 1466 1479 1624 1632 1904 1972 2199 2436 2784 2856 2932 2958 3248 3451 3808 3944 4398 4872 5131 5712 5864 5916 6496 6902 7888 8796 9744 10262 10353 11424 11728 11832 12461 13804 15393 15776 17592 19488 20524 20706 21257 23456 23664 24922 27608 30786 35184 37383 41048 41412 42514 47328 49844 55216 61572 63771 70368 74766 82096 82824 85028 87227 99688 110432 123144 127542 148799 149532 164192 165648 170056 174454 199376 246288 255084 261681 297598 299064 331296 340112 348908 361369 398752 446397 492576 510168 523362 595196 598128 680224 697816 722738 892794 1020336 1046724 1084107 1190392 1196256 1395632 1445476 1785588 2040672 2093448 2168214 2380784 2529583 2791264 2890952 3571176 4186896 4336428 4761568 5059166 5781904 7142352 7588749 8373792 8672856 10118332 11563808 14284704 15177498 17345712 20236664 30354996 34691424 40473328 60709992 80946656 121419984 242839968
- Sum of all divisors σ(n): 799061760
- Sum of proper divisors (its aliquot sum) s(n): 556221792
- 242839968 is an abundant number, because the sum of its proper divisors (556221792) is greater than itself. Its abundance is 313381824
Bases of 242839968
- Binary: 11100111100101110001101000002
- Hexadecimal: 0xE7971A0
- Base-36: 40KWIO
Squares and roots of 242839968
- 242839968 squared (2428399682) is 58971250058241024
- 242839968 cubed (2428399683) is 14320576477063248404447232
-
The
square root of 242839968 is 15583.3233939363 -
The
cube root of 242839968 is 623.8881291889
Scales and comparisons
How big is 242839968?- 242,839,968 seconds is equal to 7 years, 37 weeks, 3 days, 15 hours, 32 minutes, 48 seconds.
-
To count from 1 to 242,839,968 would take you about eleven years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 242839968 cubic inches would be around 52 feet tall.
Recreational maths with 242839968
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